Effect of Transverse Curvature on the Singularity at Separation for a Laminar Boundary Layer

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Abstract
The flow close to separation is studied using a coordinate expansion in order to determine the effects of transverse curvature on the structure. The simplest expansion using the Goldstein variables leads to a Stewartson alternative in which either the curvature must vanish or the skin friction must be regular. This difficulty is overcome by the addition of logarithmic terms when the curvature is negative, but is unresolved for positive curvature. The analogy with the flat-plate compressible boundary layer is pointed out (with heat transfer analogous to curvature), and it is concluded that it is misleading to suggest that the difficulties for a hot wall can be resolved by setting the heat transfer equal to zero.

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